Model kocke

KOCKA JE GEOMETRIJSKO TIJELO KOJE SE SASTOJI OD 6 STRANA. STRANE KOCKE SU JEDNAKI KVADRATI.

Mreže kocke

Pomiči klizače i točke.
Pokušaj izrezati neke mreže iz papira i složiti kocku!

POVRŠINA KOCKE

[br]Data je mreža kocke čija je stranica dužine 2 cm.[br][img]data:image/png;base64,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[/img][br][br][br]-[size=100]Znamo da je površina kvadrata jednaka kvadratu dužine njegove stranice. [/size][br]               [color=#ff0000][b]P=a[sup]2[/sup]  [br][/b][/color]-Izračunaćemo površinu jednog kvadrata:                                   [br]      [color=#ff0000][b]P=a[sup]2[/sup]  [br][/b][/color][color=#ff0000][b] P=2[sup]2[br][/sup] P=4 cm[sup]2[/sup][/b][/color]  [br]-Znamo da kocka ima 6 jednakih strana oblika  kvadrata.Iz toga lako zaključujemo  da je površina kocke jednaka zbiru površina njenih strana .[br][br]                 [color=#ff0000][b] [size=150]P=6∙a[sup]2[br][/sup][/size][/b][/color][color=#ff0000][b]Površina naše kocke čija je ivica 2 cm je:[/b][/color] [br] P=6∙a[sup]2[/sup] [br] P=6∙ 2[sup]2[/sup] [br] P=6∙(2∙2)[br] P=6∙4[br] P=24cm[sup]2[/sup] [br][br][color=#8496b0]   [/color][color=#ff0000][b]Površina kocke je jednaka površini figure sastavljene od šest kvadrata.[/b][/color][br][br]
Zadatak 1.
Izračunaj sada površunu kocke čija je ivica dužine 10 cm.
Zadatak 2.
[size=100]Površina jedne strane kocke je 64 cm[sup]2[/sup] . Kolika je Površina cijele kocke ? [br][/size]
Zadatak 3.
Ako je površina kocke 4 dm[sup] 2 [/sup] 86 cm[sup]2 [/sup], kolika je dužina ivice te kocke?

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